Subelliptic Bourgain--Brezis estimates on groups

• Autores: Sagun Chanillo, Jean van Schaftingen
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 16, Nº 2-3, 2009, págs. 487-501
• Idioma: inglés
• DOI: 10.4310/mrl.2009.v16.n3.a9
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• Resumen

  • We show that divergence-free $\mathrm{L}^1$ vector fields on a nilpotent homogeneous group of homogeneous dimension $Q$ are in the dual space of functions whose gradient is in $\mathrm{L}^Q$. This was previously obtained on $\R^n$ by Bourgain and Brezis.